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Finding the Fourth Proportional to 124.55, 185.86 and 113.07

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Solution

The fourth proportional to 124.55, 185.86 and 113.07 is: 168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.55 : 185.86 = 113.07 : x
  2. Step 2: Convert to fraction form
    124.55/185.86 = 113.07/x
  3. Step 3: Cross multiply
    124.55x = 185.86 × 113.07
  4. Step 4: Simplify right side
    124.55x = 21,014.91
  5. Step 5: Solve for x
    x = 21,014.91/124.55
  6. Step 6: Final answer
    x = 168.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.